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Finding the Fourth Proportional to 458,618.95, 632,952.42 and 277,332.13

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Solution

The fourth proportional to 458,618.95, 632,952.42 and 277,332.13 is: 382,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,618.95 : 632,952.42 = 277,332.13 : x
  2. Step 2: Convert to fraction form
    458,618.95/632,952.42 = 277,332.13/x
  3. Step 3: Cross multiply
    458,618.95x = 632,952.42 × 277,332.13
  4. Step 4: Simplify right side
    458,618.95x = 175,538,042,827.26
  5. Step 5: Solve for x
    x = 175,538,042,827.26/458,618.95
  6. Step 6: Final answer
    x = 382,753.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.